General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 19, Problem 16E
(a)
To determine
The orientation in which a magnetic dipole in a magnetic field have zero energy.
(b)
To determine
The orientation of a magnetic dipole in a magnetic field to have maximum torque.
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um)A proton (q=1.6 x Directions of ở and B for a proton in a magnetic field.
10 -19 C) has an energy 5 MeV moves with
velocity v through a uniform 2.0 T magnetic
field directed along the positive z-axis, proton
moves in the x-z plane and makes an angle
30° with the magnetic field as shown in the
figure. (a)- Write v & B in vector form by
using the components of v & B. (b) Find the
speed of the electron by using the given
energy value. Remember that 1Mev =1.6x10
13 J. (c)- By using the vector equation calculate the vector magnetic force. Find the direction of
the magnetic force on proton by using the right hand rule. (d) Use scaler magnetic force
equation calculate the magnitude of magnetic force. (Important note:If you are not able to
do part (a), it means you cannot do part (c). Then do part (d) , but if you do part (c) then you
do not need to do part (d)).
30 ở
Chapter 29: Magnetic Fields
We studied how a moving charge would react in a magnetic field, which extends
naturally to current where charges drift (hence moves) in a magnetic field. One special case
of this is the torque due to current loops in magnetic fields:
7= μx B= IAX B
since we defined the magnetic moment of a current loop as μ = IĀ.
estimate the current that an electric car
would have to provide to its motor such that it can do 0-100 kph in 3 seconds. Some useful
hints for guidance are below:
(1)
. Find the acceleration using kinematics
With the acceleration, what would be the torque needed for the motor to apply to the
wheel? You need to estimate yourself the size of the wheel, as well as the size of the
motor hub that is connected to the wheel.
A simple electric motor has a permanent magnet, say of strength of 1 Tesla, and a
coil acting as many current loops. You need to estimate the number of loops, you can
google it just come up with a reasonable number.
● From this and…
A circular loop of wire with a radius of 5 cm lies in the xy plane and carries a current
of 2 A, counterclockwise when viewed from a point on the positive z axis. What is
the direction and the magnetic moment dipole of the loop?
Chapter 19 Solutions
General Physics, 2nd Edition
Ch. 19 - Prob. 1RQCh. 19 - Prob. 2RQCh. 19 - Prob. 3RQCh. 19 - Prob. 4RQCh. 19 - Prob. 5RQCh. 19 - Prob. 6RQCh. 19 - Prob. 7RQCh. 19 - Prob. 8RQCh. 19 - Prob. 9RQCh. 19 - Prob. 10RQ
Ch. 19 - Prob. 1ECh. 19 - Prob. 2ECh. 19 - Prob. 3ECh. 19 - Prob. 4ECh. 19 - Prob. 5ECh. 19 - Prob. 6ECh. 19 - Prob. 7ECh. 19 - Prob. 8ECh. 19 - Prob. 9ECh. 19 - Prob. 10ECh. 19 - Prob. 11ECh. 19 - Prob. 12ECh. 19 - Prob. 13ECh. 19 - Prob. 14ECh. 19 - Prob. 15ECh. 19 - Prob. 16ECh. 19 - Prob. 17ECh. 19 - Prob. 18ECh. 19 - Prob. 19ECh. 19 - Prob. 20ECh. 19 - Prob. 21ECh. 19 - Prob. 22ECh. 19 - Prob. 23ECh. 19 - Prob. 24ECh. 19 - Prob. 25ECh. 19 - Prob. 26ECh. 19 - Prob. 27ECh. 19 - Prob. 28ECh. 19 - Prob. 29ECh. 19 - Prob. 30ECh. 19 - Prob. 31ECh. 19 - Prob. 32ECh. 19 - Prob. 33ECh. 19 - Prob. 34ECh. 19 - Prob. 35ECh. 19 - Prob. 36ECh. 19 - Prob. 37ECh. 19 - Prob. 38ECh. 19 - Prob. 39ECh. 19 - Prob. 40ECh. 19 - Prob. 41ECh. 19 - Prob. 42ECh. 19 - Prob. 43ECh. 19 - Prob. 44ECh. 19 - Prob. 45ECh. 19 - Prob. 46ECh. 19 - Prob. 47ECh. 19 - Prob. 48ECh. 19 - Prob. 49ECh. 19 - Prob. 50ECh. 19 - Prob. 51ECh. 19 - Prob. 52ECh. 19 - Prob. 53ECh. 19 - Prob. 54ECh. 19 - Prob. 55ECh. 19 - Prob. 56ECh. 19 - Prob. 57ECh. 19 - Prob. 58ECh. 19 - Prob. 59ECh. 19 - Prob. 60ECh. 19 - Prob. 61E
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- A proton precesses with a frequency p in the presence of a magnetic field. If the intensity of the magnetic field is doubled, what happens to the precessional frequency?arrow_forwardShow that U=B . (Hint: An infinitesimal amount of work is done to align the magnetic moment with the external field. This work rotates the magnetic moment vector through an angle - d(toward the positive z-direction), where d is a positive angle change.)arrow_forwardCheck Your Understanding In what orientation would a magnetic dipole have to be to produce (a) a maximum torque in a magnetic field? (b) A maximum energy of the dipole?arrow_forward
- An electron of kinetic energy 2000 eV passes between parallel plates that are 1.0 an apart and kept at a potential difference of 300 V. What is the strength of the uniform magnetic field B that will allow the electron to travel undeflected through the plates? Assume E and B are perpendicular.arrow_forwardWhat is the magnitude of an electron magnetic moment?arrow_forwardMagnetic deflection of electron beam. Deflection of an electron beam in a cathode-ray tube may be accomplished by magnetic as well as by electrostatic means. A beam of electrons of energy W enters a region of transverse uniform magnetic field of strength B. (Neglect fringe effects. (a) If x is the distance from the point at which the electron entered the field to the point at which it leaves it, show that y = √(¹-√√₁ - (-:-)) (+;)] where r is the radius of curvature of the electron in the transverse magnetic field. The radius of curvature is the radius of the circle that will match (coincide with) the curved portion of the path. (b) If R is the radius of the magnet poles, then x2R when r>> R. Use the binomial expansion to show y 2R²/r.arrow_forward
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- (b) The retarded potentials of an oscillating electric dipole is given as Po cos e 1 (r, 6,t) = sin(w(t - ric))+coslw(t - r/c)]} Ā(r, 6,t) : Ho Pow sinfw(t – r/c)] 4Tr Derive the expression for the Electric and Magnetic fields for an oscillating electric dipole using the above retarded potentials under far-field approxi- mation. Also show that the fields are perpendicular to each other.arrow_forwardfor the status defined,magnetic field B = (2t^3 – 4t^2+1) varies in T form and is r=2R=5cm.a) Calculate the direction and size of the force that is activated as soon as the electron t=2s is located in P.b) At what time does this force equal zero?arrow_forwardA 0.50 T magnetic field is applied to a paramagnetic gas whose atoms have an intrinsic magnetic dipole moment of 1.0* 10^23 J/T. At what temperature will the mean kinetic energy of translation of the atoms equal the energy required to reverse such a dipole end for end in this magnetic field?arrow_forward
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